In this paper, we investigate the technique for clustering objects with intuitionistic fuzzy information. We first propose a formula to derive the intuitionistic fuzzy similarity degree between two intuitionistic fuzzy sets and develop an approach to constructing an intuitionistic fuzzy similarity matrix. Then, we present a netting method to make clustering analysis of intuitionistic fuzzy sets...

Known as the kidney of earth, wetland has significant ecological functions such as freshwater conservation, poison elimination, carbon storage, water quality purification, flood storage and drought control, climate regulation and remaining biodiversity etc. So protecting wetland is protecting ourselves. Water environment quality best reflects the ecological environment condition of wetland. Acc...

In this paper, we propose a technique for clustering data with intuitionistic fuzzy information. We first define two new intuitionistic fuzzy similarity measures, and then use it to construct an intuitionistic fuzzy similarity measure matrix, by which we present a spectral algorithm to cluster intuitionistic fuzzy information. At last, two numerical examples are given to illustrate and verify o...

This paper describes a news summarization system using the Fuzzy Graph based Document Model. News articles are modelled as fuzzy graphs whose nodes are sentences and edges are weighted by the fuzzy similarity measure between the sentences. The similarity between sentences is in between 0 and 1. Centrality of the graph retrieves important sentences. The proposed system produces summaries by Eige...

The degree of similarity or dissimilarity between the objects under study plays an important role. In vector space, especially, the cosine similarity measure is often used in information retrieval, citation analysis, and automatic classification. However, it scarcely deals with trapezoidal fuzzy information and multicriteria decision-making problems. For this purpose, a cosine similarity measur...

In this paper, the grade of similarity, LA. B of tWO fuzzy sets A and B is defined and its properties are given. The set G(R, b) of grades of similarity associated with the set of the solutions of the Inverse Problem "given a fuzzy matrix R and a fuzzy vector b find all a such that a o R = b" is also defined and several properties are shown.

Optimal sequence similarity of triplex capsid proteins of human herpes simplex virus (HHV) is a complex bioinformatics problem, which is controlled by alignment algorithms, substitution matrix, gap penalty and gap extension. A precise choice of mutation matrix is required to optimal the alignment similarity and appropriate computational approach required for similarity search. The present paper...

This paper proposes a procedure for categorizing human’s opinions in circumstances of group decision-making. Fuzzy similarity relation is utilized for categorizing opinion matrix whose each element is derived from the difference between two evaluation vectors. Those vectors are obtained from various opinions of decision-makers and the difference of the two is well expressed by the sigmoid funct...

Fuzzy sets and fuzzy logic research aims to bridge the gap between the crisp world of math and the real world. Fuzzy set theory was applied to many different areas, from control to databases. Sometimes the number of events in an event-driven system may become very high and unmanageable. Therefore, it is very useful to organize the events into fuzzy event sets also introducing the benefits of th...